I have made a demo app and it's installed on my phone. I want to be able to show the app in action from my phone using a projector.

The way I see this happening is if I can share my phone's screen with my laptop. Is there an app to help me do that?

Note: The main reason for me not to use the Android device emulator is that it runs extremely slow and at 100% of CPU usage which I don't think is good for my laptop. I have a moderately spec-ed machine, and I need to find a why to do.